Prime p₀= 1412101450640669597 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Theadalus
db: batch=78, k=10, 2 10 2 28 2

STPT(10)	1412100617023568081	0 2 30 32 78 80 126 128 156 158	-833617101516
SPT(16)	1412100780798246787	0 34 42 70 76 84 154 190 216 252 322 330 336 364 372 406	-669842422810
SPT(16)	1412100961166829103	0 16 36 46 58 84 88 126 148 186 190 216 228 238 258 274	-489473840494
TPT(14)	1412100965470489139	0 2 138 140 150 152 180 182 222 224 228 230 282 284	-485170180458
SPT(16)	1412101088737003729	0 10 58 72 88 108 138 142 150 154 184 204 220 234 282 292	-361903665868
SPT(16)	1412101119154675043	0 66 150 194 210 216 248 266 468 486 518 524 540 584 668 734	-331485994554
SPT(16)	1412101487230501019	0 8 14 50 102 108 110 138 164 192 194 200 252 288 294 302	36589831422
SPT(16)	1412101657283097019	0 18 22 30 42 64 72 84 88 100 108 130 142 150 154 172	206642427422
TPT(14)	1412101682774796017	0 2 12 14 30 32 90 92 114 116 144 146 222 224	232134126420
TPT(14)	1412101828309669457	0 2 132 134 162 164 270 272 342 344 354 356 372 374	377668999860
SPT(16)	1412101893122106287	0 14 36 62 84 222 236 272 324 360 374 512 534 560 582 596	442481436690